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Finding the Fourth Proportional to 4,166.72, 5,747.42 and 3,169.82

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Solution

The fourth proportional to 4,166.72, 5,747.42 and 3,169.82 is: 4,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.72 : 5,747.42 = 3,169.82 : x
  2. Step 2: Convert to fraction form
    4,166.72/5,747.42 = 3,169.82/x
  3. Step 3: Cross multiply
    4,166.72x = 5,747.42 × 3,169.82
  4. Step 4: Simplify right side
    4,166.72x = 18,218,294.79
  5. Step 5: Solve for x
    x = 18,218,294.79/4,166.72
  6. Step 6: Final answer
    x = 4,372.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.